A supplement to the von Neumann trace inequality for singular values

Miranda, Hector; Thompson, Robert C.

doi:10.1016/0024-3795(95)00157-3

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If N Is Even Then W C (1

Proposition 21 Suppose1

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2002

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Cited by 4 publications

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“…It is also symmetric when p = q = 2n. When m = 1, the set W C (A) is evidently a line segment and is fully known [21] and [28]. Let m = 2.…”

Section: If N Is Even Then W C (mentioning

confidence: 99%

Numerical Ranges Arising from Simple Lie Algebras

Li¹,

Tam²

2000

Can. j. math.

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Abstract. A unified formulation is given to various generalizations of the classical numerical range including the c-numerical range, congruence numerical range, q-numerical range and von Neumann range. Attention is given to those cases having connections with classical simple real Lie algebras. Convexity and inclusion relation involving those generalized numerical ranges are investigated. The underlying geometry is emphasized.

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“…It is also symmetric when p = q = 2n. When m = 1, the set W C (A) is evidently a line segment and is fully known [21] and [28]. Let m = 2.…”

Section: If N Is Even Then W C (mentioning

confidence: 99%

Numerical Ranges Arising from Simple Lie Algebras

Li¹,

Tam²

2000

Can. j. math.

View full text Add to dashboard Cite

show abstract

“…This result was later extended to the product of matrices as follows, see [8], [7], [15]. It is interesting that the same conditions (2.2) and (2.3) are necessary and sufficient in the extended result with a simple (natural) modification of the definition for s 1 , .…”

Section: Proposition 21 Supposementioning

confidence: 99%